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Proof step 16 from proof abs-gstore-cleanup-lpt (previous step)

# avol0 = # avol1, # lpt = # avol1, (n < # lpt ⊃ (lpt[n].ref-size = 0 ∧ lpt[n].flags ≠ LP_FREE ⊃ mklp(0, 0, LP_FREE, lpt[n].gcheapidx);lpt[n]);lpt[n]) = mklp(m0, m1, lpf, m2), lpf0 = LP_GROUP_NODES ↔ n ∈ gstore, lpt[n] = mklp(m4, m5, lpf0, m6), gstore[n] = groupblock(gndx0, lax0, m3), remove-refsize0(gstore)[n] = groupblock(gndx, lax, m), dom remove-refsize0(gstore) ∩ ginval = ∅, n < # avol1, n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol0[n], groupblock(gndx0, lax0, m3), mklp(m4, m5, lpf0, m6)), n ∈ gstore → m4 = m3, ∀ n. n < # avol1 ∧ (lpt[n].ref-size ≠ 0 ∨ lpt[n].flags = LP_FREE) → avol0[n] = avol1[n], ¬(lpf = LP_GROUP_NODES ↔ n ∈ remove-refsize0(gstore)) ∨ ¬(n ∈ remove-refsize0(gstore) → abs-leb(avol1[n], groupblock(gndx, lax, m), mklp(m0, m1, lpf, m2))) ∨ ¬(n ∈ remove-refsize0(gstore) → m0 = m) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
# avol0 = # avol1, # lpt = # avol1, (m4 = 0 ∧ lpf0 ≠ LP_FREE ⊃ mklp(0, 0, LP_FREE, m6);mklp(m4, m5, lpf0, m6)) = mklp(m0, m1, lpf, m2), lpf0 = LP_GROUP_NODES ↔ n ∈ gstore, lpt[n] = mklp(m4, m5, lpf0, m6), gstore[n] = groupblock(gndx0, lax0, m3), remove-refsize0(gstore)[n] = groupblock(gndx, lax, m), dom remove-refsize0(gstore) ∩ ginval = ∅, n < # avol1, n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol0[n], groupblock(gndx0, lax0, m3), mklp(m4, m5, lpf0, m6)), n ∈ gstore → m4 = m3, ∀ n. n < # avol1 ∧ (lpt[n].ref-size ≠ 0 ∨ lpt[n].flags = LP_FREE) → avol0[n] = avol1[n], ¬(lpf = LP_GROUP_NODES ↔ n ∈ remove-refsize0(gstore)) ∨ ¬(n ∈ remove-refsize0(gstore) → abs-leb(avol1[n], groupblock(gndx, lax, m), mklp(m0, m1, lpf, m2))) ∨ ¬(n ∈ remove-refsize0(gstore) → m0 = m) ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ mklp(n2, n3, lpf, m).gcheapidx = m; (s)% ⊦ mklp(n2, n3, lpf, m).flags = lpf; (s)% ⊦ mklp(n2, n3, lpf, m).ref-size = n2; (s)